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Finding the Fourth Proportional to 152,630.80, 228,945.12 and 47,449.60

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Solution

The fourth proportional to 152,630.80, 228,945.12 and 47,449.60 is: 71,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,630.80 : 228,945.12 = 47,449.60 : x
  2. Step 2: Convert to fraction form
    152,630.80/228,945.12 = 47,449.60/x
  3. Step 3: Cross multiply
    152,630.80x = 228,945.12 × 47,449.60
  4. Step 4: Simplify right side
    152,630.80x = 10,863,354,365.95
  5. Step 5: Solve for x
    x = 10,863,354,365.95/152,630.80
  6. Step 6: Final answer
    x = 71,174.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.